The term “binary multiplication” refers to the method that involves multiplying numbers in binary. The process of multiplying binary numbers is similar to that of the arithmetic multiplication of decimal numerals. The only difference is that binary multiplication is based on numbers made up of 0s and 1 and decimal multiplication is made up of numbers that contain digits between 0 and nine. Let us discover the procedure of binary multiplication step-by-step.
Rule of Binary Multiplication
Binary multiplication is comparable to the process of multiplying decimal numbers. There are two multipliers and a multiplicand. The result of multiplying results in the creation of a result. Because only binary digits are used with binary multiplication we are able to multiply only 1s and 0s. The rules of binomial multiplication follow these rules.
Binary Multiplication Table
The table of multiplication for binary numbers can be found below.
| Multiplicand | Multiplier | Product |
|---|---|---|
| 0 | 0 | 0 × 0 = 0 |
| 0 | 1 | 0 × 1 = 0 |
| 1 | 0 | 1 × 0 = 0 |
| 1 | 1 | 1 × 1 = 1 |
How to Multiply Binary Numbers?
1 0 1 0 ----> Multiplicand
1 0 1 1 ----> Multiplier
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1 0 1 0 ----> Partial product 1
1 0 1 0 x ----> Partial product 2
0 0 0 0 x x ----> Partial product 3
1 0 1 0 x x x ----> Partial product 4
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1 1 0 1 1 1 0 ----> Final Product
Rules of Binary Multiplication
0 x 0 = 0, 0 x 1 = 0, 1 x 0 = 0, 1 x 1 = 1
Rules of Vinary Addition
0 + 0 = 0, 0 + 1 = 1, 1 + 1 = 10, 1 + 1 + 1 = 11